In order to obtain the electronic radiation characteristics under the action of a tightly compact-focused laser, the nonlinear Thomson scattering theory and the model for the interaction of linearly polarized compact-focused laser pulse with a single electron were utilized in this study. And the numerical simulation was completed by using MATLAB. The motion characteristics of the electron, as well as the power and energy distribution at different observation angles were analyzed, especially in the direction of maximum radiation. Compared with the plane-wave laser pulse, it is found that the symmetric-bimodal radiation power pulse no longer holds in time for the pulse width was 0.008fs and 0.121fs, respectively; And the radiation energy shows the dramatic oscillation at low radiation frequency of 0~50ω0. The results can provide great value for the electron emission characteristics in intense laser field.